FIRST SEMESTER SYLLABUS | PURBANCHAL UNIVERSITY BBA | MANAGEMENT MINDS
Purbanchal University | BBA I Semester |LH: 48
Course Title: Business Mathematics
Code No: FO 111
Course Objectives: This is a foundation
course to acquaint the students with fundamentals of mathematics and its application in
business decision making
Course Contents:
Unit 1: Set Theory LH 5
Review on the following: Set and Set Membership, Inclusion Relation and Equality of Sets; Universal Set; Finite and Infinite Sets. Set Operations: (Union, Intersection, Difference, Compliment and Symmetric Difference). Fundamental Laws of Set Operations; Partition of Set; Cartesian Product of Sets, Cardinal Number of Finite Set and Related Problems.
Unit 2:Matrix and Determinants LH 7
Matrix, Special Types of Matrices, Addition of Matrices, Multiplication of Matrix by Scalar and
Matrix Multiplication, Determinant of Square Matrix, Determinant of
Product of two Matrices, Properties of Determinant and Related Problems, Transpose of a Matrix, Ad-joint of a Matrix, Inverse of Square Matrix, Properties
of Inverse of a Matrix,
Rank of Matrix.
Unit 3: Linear Equations LH 5
System of Linear Equation
,
Consistent and Inconsistent
System, Test
of Consistency, Solution of System of Linear Equation
, Unique Solution and Infinite Solutions, Solution by Row-Equivalent Method, Inverse
Matrix Methods and Cramer's Rule up to Three Variables.
Unit 4: Function, Limit and Continuity LH 5
Function: Construction
of Functions; Linear and Quadratic Functions; Absolute Value Functions; Step Function, Exponential Function, Logarithmic Function, Convex Set and Convex Function; Zeros of a Function;
Unit 5: Differentiation (Excluding Trigonometric Function)LH 7
Definition of
Derivative, Right-hand and Left-hand Derivative, Basic
Laws of Derivative, The Chain Rule, Derivative of
Exponential and Logarithmic Function, Hiigher Order Derivatives, Application of Derivative.
Unit 6: Maxima
and Minima Functions LH 6
Local Maxima and Minima of a Function,
Global Maxima and Minima, Application of Maxima and Minima to Business Related Problems.
Unit 7: Integration (Excluding Trigonometric Function) LH S Integral, Integration Formulate, Integration by Parts, Definite
Integral, Application of Integration.
Simple and Compound Interest, Effective Rate of Interest, Present and
Future
Value of Money
under Compound
Interest
Annuity: Amount and Present Value of an Annuity
Suggested Reference:
M Raghavachari, Mathematics for Management: An Introduction , 2005,
Tata
McGraw-Hill
Publishing Company Limited, New Delhi
Slu·estha, Thagurathi & Mishra, Business Mathematics, 2011 edition, Buddha Publication, Kathmandu
Frank Budnick,
Applied Mathematics for Business, Economics, and the Social
Sciences, 2010, Tata McGraw Hill Publishing Company Limited, New Delhi
Kashyap Trivedi and Chirag
Trivedi, Business Mathematics, 2011, Pearson
Education, India
S Rajagopalan , R Sattanathan , Business Mathematics , 2009, Tata McGraw-Hill Publishing Company Limited, New Delhi